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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 79AOvh  
    P ^R224R  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 U< |kA(5  
    B8NOPbT  
    模型 H1N_  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 H,9e<x#own  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. IKb 7#Ut  
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    光源 /m%i"kki  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 |d?0ZA:z  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 a$.(Zl  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 t5G@M&d4Eo  
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    图2. 字母F光源的设定方法光 H.qp~-n  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 (0g@Z `r  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 +FRXTku(  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 R_eKKi@VH  
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    图5. 视网膜重点采样规格设定
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    脚本 |f;u5r!^=  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ,Ua`BWF  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 6 6WAD$8$  
    余下的脚本计算与屈光度有关的所有参数。 IF YGl  
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    分析 $e1==@ R  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 c,-3+b  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 ZE863M@.  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. :1NF#-2\f  
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    Dim entity As T_ENTITY 2&7:JM~#  
    Dim op As T_OPERATION ")LcB' C  
    Dim mat As T_MODELMATERIAL Ucr$5^ME  
    Dim A As Double Q{1Q w'+@  
    Dim pupilDiam As Double Ze_4MwC W  
    Dim eID As Long w6(E$:#d  
    Dim parID As Long -,+zA.{+W  
    Dim count As Integer sw A^oU  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #m [R1G#  
    Dim tlens As Double, nlens As Double 5jAiqJq~y:  
    Dim curv As Double, conic As Double mDZ/Kp{  
    Dim ok As Long 5'>DvCp%M  
    FY1 >{Bn  
    Sub Main b8Gu<Q1k  
    %" kF i  
        '用户输入对话框 k'Is]=3  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 NbnahhS  
            TextBox 220,21,40,21,.TextBox1 'default: 0 hq[;QF:B  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 SbS*z:  
            OKButton 40,91,90,21 ehe hTP  
            CancelButton 190,91,90,21 EY'kIVk  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 W !TnS/O_1  
            TextBox 220,49,40,21,.TextBox2 'default: 4 p,#t[K  
        End Dialog jNRR=0  
        Dim dlg As UserDialog KWwEK]   
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        ok = Dialog (dlg) UqHk2h-  
    v;_m1UpuW  
        If ok=0 Then    'cancel button was pressed S~L;oX?(!  
            Print "Execution cancelled." o3C7JG  
            End o%Ubn*  
        End If G':wJ7[]`  
    #yPQt!  
        'Assign accommodation and pupil diameter & use defaults if field left empty Ed">$S  
        If dlg.TextBox1 = "" Then 'YKyY:eZ  
            A = 0           'Default accommodation V ,# |\  
        Else EyU5r$G  
            A = CDbl(dlg.TextBox1) Ss>ez8q  
        End If _"nzo4e0  
    ~@Yiwp\"  
        If dlg.TextBox2 = "" Then C1/qiSHsh  
            pupilDiam = 4   'Default pupil diameter PD,s,A  
        Else 'F-; uN  
            pupilDiam = CDbl(dlg.TextBox2) XR2Gw 4]  
        End If ldFK3+V  
    OGA_3|[S   
        Print " " jTSN`R9@  
        Print "Accommodation = " & A & " Diopters" mV~aZM0'  
        Print "Pupil Diameter = " & pupilDiam & " mm" 0<ze'FbV]  
    K;uO<{a)r  
        ' Calculate new parameters with accommodation R*S9[fqC[  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 3:H[S_q  
    v*Dz4K#  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens !]#@:Z  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ,Q%q!#@  
    )-jA4!&  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens _mBFmXHHS$  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 19#s:nt9  
    -q&K9ZCl `  
        tlens = 3.767 + 0.04*A                  'Lens thickness p"'knZ G  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ^$>Q6.x?*)  
    e^ Aw%t  
        'Adjust parameters to account for accommodation A-6><X's6  
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        '************************************************************************* u)X]]6YJ  
        'Aqueous thickness (Position of Lens) S1vUP5cZ  
        '************************************************************************* .5_zh; `  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4`X]$.  
        GetCustomElement eID, entity PH1jN?OEwZ  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ":I@>t{H*  
    6x*$/1'M3;  
        ' Delete any shift(s) in z `T#Jiq E  
        count = 0 z<I@SI^>  
        While GetOperationCount(eID)>count +sY8<y@%  
            GetOperation eID, count, op UM(`Oh8  
            If op.Type="ShiftZ" Then H6.  
                DeleteOperation eID,count  9M]%h  
                count=count-1 5$PDA*]9  
            End If /z)H7s+  
            count=count+1 >LAhc7I  
        Wend [<nmJ-V  
    .wpp)M.w;H  
        'Set new shift in &_1x-@oI2:  
        op.Type = "ShiftZ" Dug{)h_2  
        op.val1 = taq #;(Q \  
        op.parent = parID 0Yo(pW,k  
        AddOperation eID, op xoB "hNIX  
        Print "Set aqueous humor thickness = " & taq-0.55 "KHe6otmi_  
    -s_=4U,  
        '************************************************************************* hpBn_  
        'Radius and conic constant of anterior lens $/)0iL{0  
        '************************************************************************* uQmtd  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) } Q1m  
        GetConic eID, entity, curv, conic Qd"R@+i  
    c#L.I  
        SetConic eID, entity, 1/Rant, CCant K&IHt?vh!  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant V9\y*6#Y,  
    Rq[VP#  
        '************************************************************************* ?l?_8y/ww  
        'Radius and conic constant of posterior lens lHc|: vG?  
        '************************************************************************* +ab#2~,)  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 5T-CAkR{n  
        GetConic eID, entity, curv, conic 8(@ Y@`/  
    dXMO{*MF{H  
        SetConic eID, entity, 1/Rpost, CCpost @wTRoMHPQ  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Yw6d-5=:  
    &eIwlynm  
        '************************************************************************* 0ZJN<AzbA  
        'Lens thickness (Position of posterior lens surface) J,_IHzO~Z  
        '************************************************************************* ~E3"s  
    VD0U]~CWR  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) eFz!`a^dX  
    j\%m6\{n|  
        ' Delete any z-shift(s)  KrqO7  
        count = 0 |QO)x En~  
        While GetOperationCount(eID)>count f eA(Rj  
            GetOperation eID, count, op Q39;bz  
            If op.Type="ShiftZ" Then j=V2~ xA6  
                DeleteOperation eID,count a-Ne!M[  
                count=count-1 ;yDXo\gm  
            End If W:y'a3~  
            count=count+1 ]D\p<4uepM  
        Wend FZ@8&T   
    &^JYIRn1\  
        'Set new z-shift `\Hs{t]  
        op.Type = "ShiftZ" )A*Sl2ew  
        op.val1 = tlens jx-8%dxtZ  
        op.parent = parID |7:{vA5  
        AddOperation eID, op gH[lpRu|7  
        Print "Set lens thickness = " & tlens 9 :FzSD  
    W<OO:B.ty  
        '************************************************************************* x5YHmvy/l  
        'Lens index of refraction n,o;:c  
        '************************************************************************* JNSH'9!n6  
        eID = FindMaterial( "Lens" ) nH(H k%~  
        GetModelMaterial eID, mat &k0c|q]  
    1Jn:huV2  
        mat.Nd = nlens ;h#nal>w@S  
        SetModelMaterial eID, mat SO}en[()O  
        Print "Set lens index of refraction = " & nlens bl-t>aO*.V  
    nyr)d%I{  
        '************************************************************************* /u N3"m5i  
        'Pupil diameter tX.{+yyU  
        '************************************************************************* VsR`y]"g  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) pTzfc`~xv  
    -nKBSls  
        'Adjust pupil diameter (trimming volume inner hole) x|IG'R1:Y  
    )`gE-udR  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ~zA{=|I2  
    5jBBk*/\  
        ' Adjust pupil location to just in front of the lens !Knv/:+  
        parID = FindFullName( "Geometry.Arizona Eye" )  zFk@Y  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) zV=(e( [  
        count = 0 !>L+q@l)  
        While GetOperationCount(eID)>count WX9pJ9d  
            GetOperation eID, count, op KqT~MPl  
            If op.Type="ShiftZ" Then #$(wfb9  
                DeleteOperation eID,count #p^r)+\3=  
                count=count-1 OJ\rT.{  
            End If tf@x}  
            count=count+1 NurbioFL  
        Wend M[ZuXH}  
        op.Type = "ShiftZ" -hP-w>  
        op.val1 = taq-0.01 ALY% h!L  
        op.parent = parID /,Sd  
        AddOperation eID, op dj0`Q:VZ  
    59I}  
        Print "Set pupil diameter = " & pupilDiam S.Fip _  
    _*w}"\4_  
        'Update AZ Eye subassembly Description b1{XGK'  
        eID = FindFullName( "Geometry.Arizona Eye" ) lt&30nf=  
        GetEntity eID, entity e`Z3{H}  
        entity.Description = "Accommodation = " & A & "D" I#tEDeF2  
        SetEntity eID, entity 'd@Vusq}2  
    7J%v""\1!  
        Update <AB.`["  
        Print "DONE!" 4)3!n*I  
         ^D0BGC&&  
    End Sub NR)[,b\v  
    ~-w  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: XU#nqvS`.  
    YMx zj  
    Accommodation = 4 Diopters dsxaxbVj%  
    Pupil Diameter = 4 mm HG%H@uK  
    Set aqueous humor thickness = 2.81 x6x6N&f?  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 _(\\>'1q!  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 6)eU &5z1?  
    Set lens thickness = 3.927 Pk; 9\0k7  
    Set lens index of refraction = 1.42672 "lf_`4  
    Set pupil diameter = 4 {&c%VVZb:Z  
    DONE! s `r  tr  
     
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